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Finding the Third Proportional to 419,922 and 531,711

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Solution

The third proportional to 419,922 and 531,711 is: 673,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,922 : 531,711 = 531,711 : x
  2. Step 2: Convert to fraction form
    419,922/531,711 = 531,711/x
  3. Step 3: Cross multiply
    419,922x = 531,711 × 531,711
  4. Step 4: Simplify right side
    419,922x = 282,716,587,521
  5. Step 5: Solve for x
    x = 282,716,587,521/419,922
  6. Step 6: Final answer
    x = 673,259.77

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.